The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker’s parents. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was . SAT math scores for independent samples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree. The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents. A researchhypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was514. SAT math scores for independent samples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduateswith a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree.Student's ParentsCollege GradsHigh School Grads640576564576672592384384528624432516544608456504464624504456432480588552640640448448a. Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score onthe SAT if their parents attained a higher level of education.µ1 = population mean verbal score parents college grads.µ2 = population mean verbal score parents high school grads. Ho : µ1 – 42Ha : µ1 – µ2b. What is the point estimate of the difference between the means for the two populations? (to 1 decimal)67 points higherif parents are college grads.c. Compute the p-value for the hypothesis test.t-value2.306 (to 3 decimals)Degrees of freedom(round your answer to next whole number)p-value isSelect your answer -d. At a = 0.05, what is your conclusion?WeSelect your answer -reject Ho.

Question

The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker’s parents. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was . SAT math scores for independent samples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree. The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents. A researchhypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was514. SAT math scores for independent samples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduateswith a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree.Student's ParentsCollege GradsHigh School Grads640576564576672592384384528624432516544608456504464624504456432480588552640640448448a. Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score onthe SAT if their parents attained a higher level of education.µ1 = population mean verbal score parents college grads.µ2 = population mean verbal score parents high school grads. Ho : µ1 – 42Ha : µ1 – µ2b. What is the point estimate of the difference between the means for the two populations? (to 1 decimal)67 points higherif parents are college grads.c. Compute the p-value for the hypothesis test.t-value2.306 (to 3 decimals)Degrees of freedom(round your answer to next whole number)p-value isSelect your answer -d. At a = 0.05, what is your conclusion?WeSelect your answer -reject Ho.

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